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22940280 = 23335111931
BaseRepresentation
bin101011110000…
…0101001111000
31121011111011000
41113200221320
521333042110
62135405000
7365663166
oct127405170
947144130
1022940280
1111a49410
127823760
1349a283c
143092236
1520321c0
hex15e0a78

22940280 has 128 divisors (see below), whose sum is σ = 83462400. Its totient is φ = 5558400.

The previous prime is 22940273. The next prime is 22940297. The reversal of 22940280 is 8204922.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10915 + ... + 12845.

It is an arithmetic number, because the mean of its divisors is an integer number (652050).

Almost surely, 222940280 is an apocalyptic number.

22940280 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22940280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41731200).

22940280 is an abundant number, since it is smaller than the sum of its proper divisors (60522120).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22940280 is a wasteful number, since it uses less digits than its factorization.

22940280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1962 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 22940280 is about 4789.6012360112. The cubic root of 22940280 is about 284.1403458946.

It can be divided in two parts, 22940 and 280, that added together give a triangular number (23220 = T215).

The spelling of 22940280 in words is "twenty-two million, nine hundred forty thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 18 20 22 24 27 30 33 36 40 44 45 54 55 60 66 72 88 90 99 108 110 120 132 135 165 180 198 216 220 264 270 297 330 360 396 440 495 540 594 660 792 990 1080 1188 1320 1485 1931 1980 2376 2970 3862 3960 5793 5940 7724 9655 11586 11880 15448 17379 19310 21241 23172 28965 34758 38620 42482 46344 52137 57930 63723 69516 77240 84964 86895 104274 106205 115860 127446 139032 169928 173790 191169 208548 212410 231720 254892 260685 318615 347580 382338 417096 424820 509784 521370 573507 637230 695160 764676 849640 955845 1042740 1147014 1274460 1529352 1911690 2085480 2294028 2548920 2867535 3823380 4588056 5735070 7646760 11470140 22940280